Question

Given:AB||CD .

If the coordinates of point A are (8, 0) and the coordinates of point B are (3, 7), the y-intercept of AB is____ ? If the coordinates of point D are (5, 5), the equation of line CD is y___ = ___x + ____

Answer 1

first blank : 56/5

second blank : -7/5

third blank : 12

Explanation:

Answer 2

(8,0)(3,7)
slope = (7-0) /(3-8) = -7/5

y = mx + b
slope(m) = -7/5
(3,7)

7 = -7/5(3) + b
7 = -21/5 + b
7 + 21/5 = b
35/5 + 21/5 = b
56/5 = b

y = -7/5x + 56/5 <=== the y int of AB is 56/5

y = mx + b
slope(m) = -7/5
(5,5)

5 = -7/5(5) + b
5 = - 7 + b
5 + 7 = b
12 = b

y = -7/5x + 12 <=== equation of line CD